Nonlinear Equations Preview

f (c) = 3.8907 - \ln (6 \cdot c) - a

f (a) = a + b - c

b = 5 \cdot a - 3

d = 2 \cdot c + 4 - 3 \cdot b

e = \frac{\sin (\frac{d \cdot 7.5 \cdot 3.1416}{180})}{0.1}

Initial Guess Values

c (0) = 2

a (0) = 2

Program validated. Ready to Solve.

# Example 9 - NLE System
# Simultaneous linear and nonlinear equations
# Verified Solution: a=1.00011, b=2.00055, c=3.00066, d=3.99967, e=4.99964

f(c) = 3.8907-ln(6*c)-a
f(a) = a+b-c

b = 5*a-3
d = 2*c+4-3*b
e = sin(d*7.5*3.1416/180)/0.1

c(0) = 2
a(0) = 2

Nonlinear Equations Solution

	Variable	Value	f(x)	Initial Guess	Initial f(x)
1	a	1.0001094	-8.9e-16	2	7.0e+0
2	c	3.0006565	9.5e-15	2	-5.9e-1
3	b	2.0005471		7
4	d	3.9996717		-13
5	e	4.9996385		-9.914

Settings and Hints

	Name/Source	Value	Type
1	Number of equations	5	Setting
2	Implicit equations	2	Setting
3	Explicit equations	3	Setting
4	Elapsed time	0.00 sec	Setting
5	Solution method	safenewt	Setting
6	Max iterations	150	Setting
7	Tolerance F	1e-7	Setting
8	Tolerance X	1e-7	Setting
9	Tolerance min	1e-7	Setting
10	#@report_fix_digits = 8		Default (integer)
11	#@report_show_source = true		Default (boolean)
12	#@report_show_header = false		Default (boolean)
13	#@report_show_settings = true		Default (boolean)

Messages

	Severity	Description
1	Info	-Infor- Implicit variables (2) c, a
2	Info	-Infor- Explicit variables (3) b, d, e
3	Info	-Infor- All variables (5) c, a, b, d, e

Nonlinear Equations Solution

Settings and Hints

Messages

Source